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Finding the Third Proportional to 641,922 and 897,419

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Solution

The third proportional to 641,922 and 897,419 is: 1,254,608.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,922 : 897,419 = 897,419 : x
  2. Step 2: Convert to fraction form
    641,922/897,419 = 897,419/x
  3. Step 3: Cross multiply
    641,922x = 897,419 × 897,419
  4. Step 4: Simplify right side
    641,922x = 805,360,861,561
  5. Step 5: Solve for x
    x = 805,360,861,561/641,922
  6. Step 6: Final answer
    x = 1,254,608.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.